In the first-order reaction, X ⟶ Y, the concentration of 'X' changes from 0.1 M to 0.025 M in 40 min . The rate of reaction ( m o l L − 1 mi n − 1 ) when the concentration of 'X' i

Question

In the first-order reaction, X ⟶ Y, the concentration of 'X' changes from 0.1 M to 0.025 M in 40 min . The rate of reaction ( m o l L − 1 mi n − 1 ) when the concentration of 'X' is 0.01 M would be:

TestHub · Accepted Answer

X ⟶ Y The number of half-lives when [X] changes from 0.1 M to 0.025 M = 2. ∴ t 1/2 ​ = 2 40 ​ = 20 min . k = t 1/2 ​ 0.693 ​ = 20 0.693 ​ mi n − 1 R a t e = k [ X ] = 20 0.693 ​ × 0.01 = 3.47 × 1 0 − 4 m o l L − 1 mi n − 1

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